2. (40 points) Suppose we want to design a combinational logic block that accepts a 4 bit Binary number as input. Let the most significant bit(leftmost) of the value be A, the second- most significant bit be B, third-most significant bit be C and the least significant(rightmost) bit be D. The output value is represented by another Boolean variable 0. The value of o must be 1 if the input value is greater than 5 and less than 10; and otherwise. a) (15 points) Write down the truth table corresponding to the above-mentioned logic block. b) (10 points) Derive the logic equation from the truth table of 2(a) as a sum of products. c) (15 points) Draw a logic diagram that implements the logic equation of 2(b). 3. (20 points). Draw the logic diagram of a 1-bit adder using AND, OR and NOT gates only